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Finding the Fourth Proportional to 27,416.34, 37,834.38 and 14,841

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Solution

The fourth proportional to 27,416.34, 37,834.38 and 14,841 is: 20,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416.34 : 37,834.38 = 14,841 : x
  2. Step 2: Convert to fraction form
    27,416.34/37,834.38 = 14,841/x
  3. Step 3: Cross multiply
    27,416.34x = 37,834.38 × 14,841
  4. Step 4: Simplify right side
    27,416.34x = 561,500,033.58
  5. Step 5: Solve for x
    x = 561,500,033.58/27,416.34
  6. Step 6: Final answer
    x = 20,480.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.